Direct calculation of mutual information of distant regions
Direct calculation of mutual information of distant regions
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DOI：
10.1007/jhep09(2020)182
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发表时间：
2019-07
影响因子：
5.4
通讯作者：
Noburo Shiba
中科院分区：
文献类型：
--
作者：
Noburo Shiba
本文研究了自由标量场真空态下远距离紧致空间区域A和B的（Rényi）互信息。A和B之间的距离r远大于它们的尺寸R A、B。众所周知。对于任意区域A和B，我们得到了的直接表达式.我们执行n的解析延拓，并获得互信息。直接表达式对数值计算是有用的。利用直接表达式，可以直接计算I（A，B），而不需要分别计算SA，S B和SA与B，从而大大减少了计算量。
We consider the (Rényi) mutual information,, of distant compact spatial regions A and B in the vacuum state of a free scalar field. The distance r between A and B is much greater than their sizes R A, B. It is known that. We obtain the direct expression offor arbitrary regions A and B. We perform the analytical continuation of n and obtain the mutual information. The direct expression is useful for the numerical computation. By using the direct expression, we can compute directly I (A, B) without computing S A, S B and S A∪ B respectively, so it reduces significantly the amount of computation.